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Math

2022

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Full-Text Articles in Education

National Assessment Of Educational Progress (Naep) Results 2022, Sarah C. Mckenzie, Josh B. Mcgee Oct 2022

National Assessment Of Educational Progress (Naep) Results 2022, Sarah C. Mckenzie, Josh B. Mcgee

Policy Briefs

The National Center for Education Statistics has released this year’s NAEP results which measure nationwide student performance in 4th and 8th grade reading and math. NAEP is administered nationally to a representative sample of students from all 50 states, so acts as a standard measure of student performance across states and time. In this policy brief will examine Arkansas’ 2022 results and examine score gaps between student groups.


“Math Talks Are Like An Alarm Clock Waking You Up”: Language’S Crucial Role In Mathematics, Gabriella M. Wasser Sep 2022

“Math Talks Are Like An Alarm Clock Waking You Up”: Language’S Crucial Role In Mathematics, Gabriella M. Wasser

Journal of Practitioner Research

Whole group math talks, or number talks, are a common practice to get students talking about their own understanding of mathematical concepts. The purpose of this study was to implement math talks in small group settings to see what would happen, specifically to students’ conceptual understanding as well their general perceptions of math talks. This study took place in a fourth-grade math classroom, and math talks were implemented with the whole class for a week and then moved to small groups for the remaining three weeks of the study. During the study, a pre-and post-assessment was given, field notes were …


Graphic Models And Instructional Tools For Students With Special Needs (Revised), Edward A. Polloway, Jacqueline Lubin Aug 2022

Graphic Models And Instructional Tools For Students With Special Needs (Revised), Edward A. Polloway, Jacqueline Lubin

LC Journal of Special Education

This document is intended for educators with interest in students with special needs. It provides various graphical models and instructional tools that relate to teaching reading, writing, math, and social studies and science to students with disabilities. The paper is divided into four sections: reading, writing, math, social studies and science. In each section, multiple examples of models are provided. The information provided can be used for general knowledge, as part of course content in special education classes and/or as reference material. The authors acknowledge the work of Allison Meade and Wendy Bailey-Joseph in developing an earlier edition of this …


Preschool Number Of The Day, Christine Shepard Jul 2022

Preschool Number Of The Day, Christine Shepard

Master's Theses & Capstone Projects

This action research project was completed by a researcher was interested in the preschool math curriculum. More specifically, in the numbers and how their relationships including one to one counting and producing the amount when given a number in preschool. This researcher has taught preschool for 7 years. The students were able to participate in the study. One class of students did not receive the number of the day lessons, while the other students received the lessons throughout the entire school year. The study was part of our learning standards aligning to the Iowa Early Learning Standards and Gold Teaching …


Assessing The Impact Of Online Homework On 8th Grade Students’ Mathematical Proficiency And Perceptions: An Action Research Study, Chad Williams Jul 2022

Assessing The Impact Of Online Homework On 8th Grade Students’ Mathematical Proficiency And Perceptions: An Action Research Study, Chad Williams

Theses and Dissertations

This action research aimed to assess the impact of online homework, delivered via IXL, on thirteen 8th Grade Mathematics students' mathematical proficiency and explored their perceptions of its usefulness. The Cedar Hill Middle School students typically scored below state and national averages in mathematics, necessitating increased rigor and support. Two main questions guided the research in this study. The first question assessed the impact of online homework on students' mathematical proficiency according to the National Council of Teachers of Mathematics (NCTM) definition, looking specifically at strategic competence, conceptual understanding, procedural fluency, and adaptive reasoning. The second question investigated students' perceptions …


Coding Protocol: A Meta-Analysis Of Early Numeracy Curriculum-Based Measurement, Gena Nelson May 2022

Coding Protocol: A Meta-Analysis Of Early Numeracy Curriculum-Based Measurement, Gena Nelson

Early and Special Education Faculty Publications and Presentations

The purpose of this document is to provide readers with the coding protocol that authors used to code 21 studies that met inclusion criteria for a meta-analysis. The focus of the meta-analysis was to determine the average correlations between four common early numeracy curriculum-based measure measurement (CBM) tools (i.e., oral counting, quantity discrimination, missing number, and numeral identification) and mathematics achievement criterion measures. We also identified moderating factors of the relationship between CBM and the criterion measures. Studies were included if they focused on at least one of the four common early numeracy CBM, and included correlations for students in …


Coding Protocol: A Meta-Analysis Of Mcomp And Mcap Curriculum-Based Measurement, Gena Nelson, Robin Codding May 2022

Coding Protocol: A Meta-Analysis Of Mcomp And Mcap Curriculum-Based Measurement, Gena Nelson, Robin Codding

Early and Special Education Faculty Publications and Presentations

The purpose of this document is to provide readers with the coding protocol that authors used to code 26 studies that met inclusion criteria for a meta-analysis. The focus of the meta-analysis was to determine the average correlations between MCOMP and MCAP curriculum-based measurement (CBM) and mathematics achievement criterion measures, as well as to determine the moderating factors of this relationship. Studies focused on grades 2 through 8 MCOMP, MCAP, and mathematics achievement. We coded 26 studies published between 2005 and 2021, including 15 peer-reviewed journal articles and 11 doctoral dissertations. Across studies, we coded variables such as basic study …


Math Musicians: Exploring The Impact Of Content Integrated Pop Music On Students’ Attitudes And Engagement During Math Instruction, Megan Hook May 2022

Math Musicians: Exploring The Impact Of Content Integrated Pop Music On Students’ Attitudes And Engagement During Math Instruction, Megan Hook

Student Research Submissions

Traditional methods of math instruction have been consistently linked to students having negative feelings about math, as well as decreased motivation and engagement during math instruction. This study investigated how arts integration, specifically integrating pop music, impacted students’ attitudes about math and students’ motivation and engagement during math instruction in a fifth-grade classroom. This study was mixed methods, with quantitative data collected through an adapted version of a student dispositions survey to assess students’ attitudes, motivation, and engagement, and qualitative data collected through a short response question about how students feel music impacted their math experiences. Results indicated that the …


Early Mathematical Abilities Of 48-Month-Old Children With Williams Syndrome., Jenna N. Tinnell May 2022

Early Mathematical Abilities Of 48-Month-Old Children With Williams Syndrome., Jenna N. Tinnell

College of Arts & Sciences Senior Honors Theses

Williams syndrome (WS) is a genetic neurodevelopmental disorder associated with relative strengths in concrete vocabulary, nonverbal reasoning, and verbal short-term memory and considerable weaknesses in visuospatial construction and relational language. While the cognitive profile of WS has been studied extensively, there have been few studies of the early mathematical abilities of children with WS and the cognitive predictors of these abilities. The purpose of this study was to describe the early mathematical abilities of 48-month-olds with WS and determine the concurrent cognitive predictors of these abilities. The Differential Ability Scales–second edition (DAS-II) was used to determine cognitive and mathematical abilities …


Understanding And Cultivating Mathematical Resilience In Students, Anthony Bosman, Adam Heck May 2022

Understanding And Cultivating Mathematical Resilience In Students, Anthony Bosman, Adam Heck

Faculty Publications

No abstract provided.


How To Guard An Art Gallery: A Simple Mathematical Problem, Natalie Petruzelli Apr 2022

How To Guard An Art Gallery: A Simple Mathematical Problem, Natalie Petruzelli

The Review: A Journal of Undergraduate Student Research

The art gallery problem is a geometry question that seeks to find the minimum number of guards necessary to guard an art gallery based on the qualities of the museum’s shape, specifically the number of walls. Solved by Václav Chvátal in 1975, the resulting Art Gallery Theorem dictates that ⌊n/3⌋ guards are always sufficient and sometimes necessary to guard an art gallery with n walls. This theorem, along with the argument that proves it, are accessible and interesting results even to one with little to no mathematical knowledge, introducing readers to common concepts in both geometry and graph …


Meas: Exploring Links Between Implementation And Standards Mastery, Noah Silver Apr 2022

Meas: Exploring Links Between Implementation And Standards Mastery, Noah Silver

Honors Projects

In order to effectively enhance a student’s mathematical understanding and development in the field of mathematics, students need to engage in problem solving. Model eliciting activities, or MEAs, provide students with tasks that promote higher level thinking and the ability to utilize mathematics outside of the classroom; they also align and promote the utilization of the Common Core State Standards and Standards for Mathematical Practice. Research suggests that the language and motivation promoted by MEAs enriches engagement and increases student ability and performance of traditional and real-world mathematics. Use of technology further supports these goals. Through the analysis of checkpoint …


Math Basics Afterschool Club, Lexi Soukup, Meg Williams Apr 2022

Math Basics Afterschool Club, Lexi Soukup, Meg Williams

Honors Expanded Learning Clubs

This is a compilation of Lexi Soukup and Meg Williams’ work as Club Leaders in an Afterschool Club run through the University of Nebraska- Lincoln and YMCA Afterschool Programs titled Math Basics. Our club is an interactive, hands-on math exploration where students are challenged to change their perspective of math, and it is meant to occur once weekly. During this club, we try to challenge their current views of math and expand their knowledge on math concepts they learn in class through activities and games. This is meant to make math FUN! Our compilation of lesson plans are sure to …


High School Students’ Math And Science Motivation Profiles: Stability And Relationship With Their Stem Career Aspirations, Jiali Zheng Apr 2022

High School Students’ Math And Science Motivation Profiles: Stability And Relationship With Their Stem Career Aspirations, Jiali Zheng

Theses and Dissertations

Motivation to study mathematics and science is an important influencing factor of career aspirations in STEM fields which predicts STEM major choice in college and STEM careers after graduation. Using restricted data from a nationally representative sample HSLS:09, the current study identified U.S. high school students’ motivation profiles in mathematics and science courses in 9th and 11th grade, examined the stability of these profiles across the two time points, and studied the association between 11th grade motivation profiles and STEM career aspirations. Differences between male and female students in motivation profiles, profile stability and career aspirations were …


Exploration Of Piccirillo's Trick On Low Crossing Number Knots, Gabriel Adams Mar 2022

Exploration Of Piccirillo's Trick On Low Crossing Number Knots, Gabriel Adams

Honors Theses

Piccirillo recently discovered a process that can be applied to an unknotting number one knot to convert it into a different knot called a Piccirillo dual. Piccirillo duals have been shown to have the same n-trace and the same sliceness. However, exploration and knowledge of this process is limited. We were able to generate the Piccirillo duals for several low-crossing number knots. We offer the foundation for and explain how to follow the Piccirillo process and generate Piccirillo duals. This talk assumes little knowledge of knot theory and concisely gives newcomers a clear introduction to get started working with Piccirillo …


Effective Interventions To Increase Basic Math Skills For Students With Learning Disabilities, Dasom Gang Feb 2022

Effective Interventions To Increase Basic Math Skills For Students With Learning Disabilities, Dasom Gang

Culminating Projects in Special Education

The purpose of this starred paper is to find effective interventions to teach basic math skills to students with learning disabilities. This research is broken down into three main interventions: Technology models, Number lines, and Concrete-Representational-Abstract (CRA). I analyzed data from ten research studies and found that these efficient interventions help students with learning disabilities increase not only their math abilities but also their self-esteem.


Curriculum-Based Measures In Mathematics: An Updated Review Of The Literature, Gena Nelson, Allyson J. Kiss Jan 2022

Curriculum-Based Measures In Mathematics: An Updated Review Of The Literature, Gena Nelson, Allyson J. Kiss

Early and Special Education Faculty Publications and Presentations

The purpose of this document is to provide readers with the coding protocol that authors used to code 96 studies that focused on Stages 1, 2, and/or 3 of curriculum-based measurement in mathematics (CBM-M) research. Stage 1 refers to evidence for using CBM at one point in time (i.e., static scores), such as for screening for difficulty. Stage 2 refers to evidence for using CBM repeatedly overtime, such as for progress monitoring. Stage 3 focuses on the instructional utility of CBM (i.e., instructional decisions to increase student achievement). The purpose of the systematic review was to update the Foegen et …


Agency And Self-Efficacy In Corequisite Math Courses, Silvia Reyes Jan 2022

Agency And Self-Efficacy In Corequisite Math Courses, Silvia Reyes

Theses and Dissertations

Students identified as unprepared for college work face considerable barriers to performance and college completion. To improve underprepared student outcomes, community colleges where most underprepared students enroll are using different models of developmental education. A recently implemented model in mathematics is a corequisite course designed to increase students’ chances of success by using different methods of instruction to decrease student time to completion. This corequisite course accelerates students placed in developmental math classes and offers students the opportunity to complete their developmental requirements while taking college-level work and earning college credit. As developmental mathematics poses the biggest barrier for underprepared …


Cache Code Math Mathematics Lesson Plans: Geometry, Jody Clarke-Midura, Jessica Shumway, Kimberly Beck, Umar Shehzad, Mimi Recker Jan 2022

Cache Code Math Mathematics Lesson Plans: Geometry, Jody Clarke-Midura, Jessica Shumway, Kimberly Beck, Umar Shehzad, Mimi Recker

Instructional resources

This document is comprised of a set of six 5th grade mathematics lesson plans. The lessons are intended to be implemented in conjunction with the computer lab activities “Jump Using My Blocks and Variables,” “Guess the Triangle,” and “Guess the Quadrilateral.” Geometry concepts (classifying triangles and quadrilaterals) are paired with computer coding concepts of conditionals and variables.


Mathematical Connections Established In The Teaching Of Functions, Vesife Hatisaru Jan 2022

Mathematical Connections Established In The Teaching Of Functions, Vesife Hatisaru

Research outputs 2022 to 2026

This study explores the types of mathematical connections established in the classroom in the teaching of functions. An extended model for mathematical connections (different representations (DR), procedural (PC), if-then (I-T), part-whole connections (PWC), feature/property (F/P), analogies, and instruction-oriented connections (IOC)) is used as the analytical framework. The context for the study is classroom observations of two secondary mathematics teachers teaching functions to Grade 9 students. The strength of teachers’ mathematical knowledge for teaching (MKT) the concept of function is different: one has stronger MKT, while the other has weaker MKT. A total of 485 connections are identified in a sample …


Current School District Administrators’ And Math Teachers’ Perspectives Of Teacher Buy-In For Problem-Based Learning In Middle School Math, Kelly Riley Hastings Jan 2022

Current School District Administrators’ And Math Teachers’ Perspectives Of Teacher Buy-In For Problem-Based Learning In Middle School Math, Kelly Riley Hastings

Walden Dissertations and Doctoral Studies

Project-Based Learning (PBL) in middle school math classrooms is a topic that has not been well-researched, even though math scores in the United States have been declining. In a school district in the Southcentral United States, the local problem was that teacher buy-in for PBL in middle school math classes was unknown, as current literature regarding administrator and teacher perspectives on teacher buy-in is limited. The purpose of the study was to explore current school district administrators’ and math teachers’ perspectives of teacher buy-in for PBL in middle school math in a Southcentral U.S. state. Vygotsky’s social constructivist theory contributes …


Prodigy Game And Third-Grade Mathematics Achievement In An Urban Setting, Christina D. Brooks Jan 2022

Prodigy Game And Third-Grade Mathematics Achievement In An Urban Setting, Christina D. Brooks

Walden Dissertations and Doctoral Studies

Students in Urban District 1 were not meeting grade level learning outcomes in mathematics on state- and district-administered benchmark assessments. The purpose of this study was to determine if including a specific educational video game (EVG), Prodigy, in mathematics instruction with third-grade students would influence students’ math achievement as measured by the districts quarterly Star Math benchmark assessments. The research question looked at the difference in students’ benchmark assessment scores for mathematics between third-grade users and non-users of the video game learning software Prodigy during the 2017–2018 school year. The use of EVGs as an instructional strategy was examined through …